brittany4444
Answered

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Houses in an real estate are all identical however a person can purchase a new house with some all or none of a set of options as indicated by the set below
how many options are there for purchasing a house in this community

{ pool , alarm , lake view , balcony }

Sagot :

Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.

What is the number os subsets of a set of cardinality n?

The number of subsets is given by:

[tex]N_s = 2^n [/tex]

The set of options is given by:

O = { pool , alarm , lake view , balcony }

Which has cardinality n = 4.

The number of options for the purchased home is the number of subsets of set O, hence:

[tex]N_s = 2^4 = 16[/tex]

More can be learned about the number of subsets of a set at https://brainly.com/question/1462590

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